Qs The sides of AB and CD of a
11gm AB CD are
bisuted at E and F. Prove that EBED is a
||gm.
Answers
Answered by
4
Answer:
EBFD is a parallelogram.
Proved below.
Step-by-step explanation:
Given:
Here we are given that the sides AB and CD of a parallelogram ABCD are bisected at E and F.
Now as shown in the figure given below,
AB || DC and AB = DC [ opposite sides of a parallelogram ]
There fore EB || DF and [ E is the mid point of AB ]
Also,
[F is mid point of DC and DC = AB]
Therefore EB || DF and EB = DF
EBFD is a parallelogram. [One pair of opposite sides is parallel and equal]
Hence proved.
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